How do I tell my parents that I hate my school and friends?

I'm currently at 7th grade in a public school in New York. I live in an expensive, suburban area so the schools are pretty good. A few months ago I discussed with my mom about switching into private schools. Of course, the first thing she wanted to know was why. I was too nervous to tell my mom it was because I was having social issues, so I told her it was because I wanted a better education. I brought up statistics and everything and my mom agreed to look at schools. My father on the other hand, immediately said no. He said my school is fine and I don't need private schooling. Now as the months go on, school is getting harder and harder. I'm starting to get depressed and I can see the changes in how I act. I also can tell my parents are noticing a change. I feel like I have no real friends. There is no one I trust or can turn to. I'm considered one of the "popular" girls in my grade, but in reality I hate all of my friends. They all make snide remarks and are only nice to you when there's something in it for them. Girls I thought were my best friend make me feel horrible about myself. They always joke around and call me "slut" or "whore" because i'm the only one that's made out with boys. One of my closest friends moved in on my boyfriend, and when we broke up started dating him. My other best friend helped her date him. I honestly lay down listening to music all day and wish I were at a different place. I don't know how to tell my parents that the real reason I want to leave is because I absolutely hate everyone. I know they're going to think it's just because my boyfriend recently broke up with me or say I'm acting silly because I'm popular. I just don't know who I could possibly befriend now. My social life is destroying me and at random points during the day I just feel like crying. I can't take it. I know private schools are around 35,000-40,000 a year but I know my family can afford it. My dad claims its "too expensive" but yet he owns a $300,000 ferrari. How do I get my parents to understand how serious this is and how much I need to switch? It's not just a phase, I hate everyone.